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Finding the Third Proportional to 16,030 and 21,394.50

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Solution

The third proportional to 16,030 and 21,394.50 is: 28,554.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,030 : 21,394.50 = 21,394.50 : x
  2. Step 2: Convert to fraction form
    16,030/21,394.50 = 21,394.50/x
  3. Step 3: Cross multiply
    16,030x = 21,394.50 × 21,394.50
  4. Step 4: Simplify right side
    16,030x = 457,724,630.25
  5. Step 5: Solve for x
    x = 457,724,630.25/16,030
  6. Step 6: Final answer
    x = 28,554.25

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.